What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?
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Answer:
Step-by-step explanation:
slope-intercept form:
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
In this case, all you need to do is subtract 3x from both sides.
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
Finally, with the slope and the y-intercept, you can write the equation of the line:
Let "x" represent the weight of the toppings. We know that we can have any number of toppings. This means that one may ask for no toppings at all too.
Now, we have been told that "S" is the weight of the special sundae in kilograms. This definitely included the "mandatory" 2 kilograms of ice cream. Therefore, S will be at-least equal to 2.
Thus, the inequality that describes S, the weight of the special sundae in kilograms at Ping's Ice Cream Palace is given as:
kilograms.
It can be seen that as x increases, S increases too and if an order does not want any toppings in it then the weight of the special sundae will be a minimum of 2 kg which is the weight of the ice cream.